LIE BIALGEBRA QUANTIZATIONS OF THE OSCILLATOR ALGEBRA AND THEIR UNIVERSAL R-MATRICES

Authors
BALLESTEROS A HERRANZ FJ
Citation
A. Ballesteros et Fj. Herranz, LIE BIALGEBRA QUANTIZATIONS OF THE OSCILLATOR ALGEBRA AND THEIR UNIVERSAL R-MATRICES, Journal of physics. A, mathematical and general, 29(15), 1996, pp. 4307-4320
Citations number
19
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
15
Year of publication
1996
Pages
4307 - 4320
Database
ISI
SICI code
0305-4470(1996)29:15<4307:LBQOTO>2.0.ZU;2-B
Abstract
All coboundary Lie bialgebras and their corresponding Poisson-Lie stru ctures are constructed for the oscillator algebra generated by {N, A(), A(-), M}. Quantum oscillator algebras are derived from these bialge bras by using the Lyakhovsky and Mudrov formalism and, for some cases, quantizations at both algebra and group levels are obtained, includin g their universal R-matrices.